We have the following function:
p (x) = - 2 (x-9) ^ 2 +200
We derive to find the maximum of the function:
p '(x) = - 4 (x-9)
Rewriting:
p '(x) = - 4x + 36
We match zero:
-4x + 36 = 0
We clear x
x = 36/4
x = 9 degrees
The maximum population occurs when x = 9.
We evaluate the function for this value:
p (9) = - 2 * (9-9) ^ 2 +200
p (9) = 200
Answer:
The maximum number of fish is:
p (9) = 200
Answer:
7/6 * 3/1 =21/6 you just flip the fraction when doing division.
Step-by-step explanation:
Please consider the attached diagram.
We have been given that angle DAB and angle DCB are right angles. We are also told that measure of angle DBC is 42 degrees. We are asked to find the measure of arc CAB.
We can see that angle DBC is inscribed angle of arc DC, so measure of arc DC is two times the measure of angle DBC.

We can also see that segment DB is diameter of given circle as inscribed angle of diameter is a right angle.
Since segment DB is diameter of given circle, so measure of arc DAB would be equal to half the measure of 360 degrees.




Therefore, the measure of arc CAB is 264 degrees.
Answer:
Step-by-step explanation:
y=3x+1
y=3(3)+1
y=9+1
y=10